Answer:
x = 1.8
Step-by-step explanation:
10.4 - 5 = 5.4 (subtract 5 from each side)
to isolate the variable, x, divide each side by 3
5.4/3 = 1.8
Answer:
a^2+b^2=c^2
Step-by-step explanation:
You can apply this formula to any quadratic equation.
Answer:
35.9 grams
Step-by-step explanation:
We use the formula:
Where
q is heat released
m is mass
C_p is the constant 2.44
ΔT is change in temperature
We put the info in the formula and solve for m (mass):
The mass of ethanol is 35.9 grams
Answer: 81%
Step-by-step explanation:
From the question, we are informed that a student received the following test scores: 71%, 89%, 72%,
84% and 83% in 5 tests and the student wants to maintain an average of 80%.
The lowest score/grade they can receive on the next test to maintain at least an 80% average first thus:
First, to make it easy we can remove the percent sign. Then we multiply 80 by 6 since we're calculating for 6 tests scores. This will be:
= 80 × 6
= 480
We then add all the 5 test scores. This will be:
= 71 + 89 + 72 + 84 + 83
= 399
We then subtract the values gotten. This will be:
= 480 - 399
= 81
This means the student must get at least 81%
There exists a trigonometric identity which states that,
sin (A - B) = sin A cos B - cos A sin B
This is very similar to the given expression with A equal to 57° and B equal to 13°. The simplified form of the angle is,
sin (57° - 13°) = sin 44°
